Please. Tell me in what measurable way is the effect of simple panhandling on others different from proselytizing?
Per you...
"You do not have a right to not be asked for spare change. Provided that a panhandler is not engaging in a threatening manner or some other manner that violates your rights, it must be permitted."
Now read what I linked too.
What, the whole thing? Maybe some other time. From the preface:
how to curb one especially annoying public nuisance—panhandling that is abusive, A Guide to Regulating Panhandling persistent, or threatening.
So clearly this guide is not intended for panhandling in general, but rather "aggressive panhandling". No, you can't threaten people, follow them around pestering them. Specifically, this guide is intended for "panhandling that is abusive".
This is why I was always careful to state "simple" panhandling.
The same would apply to any speech, political and religious alike. You have a right to free speech, provided that you aren't violating the rights of others. The only thing special about panhandlers is their specific social class.
And simply asking for money or holding a sign does not do this, and if somewhere in this guide they suggest that panhandling is inherently threatening that's the kind of "unconstitutional convenience" I am referring to.