Best lenses for my Canon cameras

[FLbeachbum]

Hi all, I have been interested in photography for as long as I can remember (playing with my mother's 110 camera and flash cubes as a 5 year old). I have been in and out of the hobby many times over the years due to different life events such as school, busy work schedule, being the sole caregiver for my mother for nearly 5 years, etc. I recently sold my house for a decent profit and my work schedule has finally normalized. I'm also looking to retire in the next 8 years. So I am finally able to return to photography for the first time in several years. Things have changed in that time.

I enjoy travel, sports, and wildlife photography as well as landscape photography. So polar opposites as far as needed equipment. I use both a Canon 6D and 7Dii with a 24-105 f/4 L and a couple of kit lenses acquired over the years. I am looking to upgrade my lenses now that I have a bit of extra money and time. I have decided to invest in the 70-200 2.8 L and may eventually get a 5D lV just because I have always wanted a 5D body. My question is what would be your other lens choices in my situation and why? I want a wide angle but am confused by the 16-35 f/4, 17-40 f/4, and 16-35 f/2.8 . Aren't the first two basically the same and do you really need a f/2.8 for landscape photography? Also debating between the Canon 100-400 and Sigma 150-600 for sports and wildlife. The reach and price are better for the Sigma but it is much heavier. Is the trade-off worth it?

One more point. I realize there will be people who say if I am looking at spending that kind of money I should consider mirrorless. I am old and stubborn. I understand the DSLR system (both full frame and APS-C) as well as 35mm film. At this point in my life I have no interest in spending the time and mental effort to learn something else. I appreciate any and all suggestions you can give me but please keep lens suggestions to something available in Canon's EF mount.