Some flash tubes are the so-called "color-corrected" ones or "UV coated", depending on the marketing-speak of the flash manufacturer, and the ones I've used (from Speedotron) have a very faint yellowish tinge to them, while their normal-grade flashtubes are perfectly clear, colorless glass.
Some folks claim that it's nifty to light portrait subjects with the UV-corrected or 'warm', color-corrected flashtubes, and to then light the backdrop using non-UV coated (also called 'uncoated' flashtubes), slightly cooler flashtubes.
In Speedotron Black Line, and Brown Line, I've found that there is a pretty noticeable difference in color rendering between their UV-coated and their "plain", non-coated flash tubes.
You should have no worries mixing studio flash brands, as far as the flashes firing and working right. One issue though might be a very big difference in WYSIWYG modeling light power throwing you off on your setups if you're working by visual means. Some flash units have very bright,powerful quartz-halogen modeling lamps, like Speedotron Black Line with intensely bright 250 Watt quartz-halogen lamps, or higher-end Brown Line units (M11 or M11-Q) with 150 Watt quartz-halogen lamps; others use 100 Watt quartz-halogen bulbs, while others use a single, pretty dim 35 Watt night-light type incandescent bulb, while another model uses a trio of 35 Watt incandescent bulbs; some more modern lights use LED arrays, and so on, so if you have a range of different modeling lamps that represent different levels of actual flash output power, WYSIWYG might not be exactly What You See Is What You Get!
If you have a 400 Watt-second flash that uses say, a 150 Watt quartz-halogen lamp to represent 400 W-s, visually that modeling light is gonna be VERY bright compared to say, a 25 Watt, power-saving, LED array that represents another brand's 400 Watt-second monolight's full power output...one's gonna' look VERY bright...the other one not so much, so your visual estimation of the power could easily be skewed. Then there's also the variable modeling light output: is it simple, like just High and Low?, or does the modeling lamp output "track" the light's flash output level in a so-called "proportional modeling light" mode? or is it simply user-settable across a range from High to Low?
How much heat does the modeling lamp generate? Some modeling lamps generate a LOT of heat if the light has a honeycomb grid added, or if used with a snoot...high-temp quartz lamps really ought to be used enclosed only with fan-cooled flash heads, IMO. However...bright, high-output quart-halogen modeling lights make it EASY to see exactly where a gridded hair light or accent light is aimed. When a tight grid like a 7- or 10-degree is used with other high-output modeling lights, using a dim-Watt lamp can make "seeing" the light very challenging.
I use box-and-cable flash units, where the power adjustment is done at the power pack, which is on the ground, so there's absolutely no need to reach up and "get at" the flash heads.
Last issue is, "How compatible are my accessories?" It can be a PITA to have "extra" lights that use a different accessory fit than the main lighting gear's brand. Some flash accessories are brand-specific, while others are pretty much universal, so make sure that the normal and Plus-one sized reflectors are the same size...like say 5-inch and then 7-inch, or 7-inch, and then 11-inch, and 16-inch, or whatever.
I dunno...I think those would be the main things, and then there's expense level, as in how many lights per $500 spent? That is where Speedotron Brown Line is really affordable, but it's low-tech and old-school,and many people want more control and more-incremental power control, so they prefer monolights, or higher-tech box and cable systems with more-fancy features,like Black Line packs. Speedlights are pretty slooooow to recycle compared to studio flash units, and a number of light-shaping tools that many people want to use are not as good, nor as easy to fit on, to speedlights are they are to "real" studio flash units, and the can not shoot for very long at higher power before they get very hot, or even damaged. I personally think that brand-on-brand is, all things considered, ideal,and in the long run maybe more economical when you start adding up accessory sets like grids and gel-holders and diffusers and reflectors and speedrings,etc.. Less duplication, more sharing,similar model lights, similar or at least compatible recycle times,etc..