Remember the origins here -- ToS is an analysis package that trades; TWS is a trading package that (slowly, slowwwwwly) is learning to analyze. To that extent, ToS will have a distinct advantage.
For me (coming as a equities' tick scalper), TWS/IB had the absolute advantage when I was running through hundreds of trades a day. But as I'm now an options premium seller, trading most OPM, in what is sometimes a "combative" environment (i.e., with new All-Time High(s) reported every other week for 6 months in a row...), the speed afforded by TWS set-ups is gratifying, satisfying, *exulting*, ..... marvelous. (I'm putting aside all my MAJOR BITCHING AT I.B. Days.....)
So it boils down to, "Just what do you wish for, in 'analyzing options'??" I have built my own -- a system that resembles screenshots from OptionVue in its overall nature. In the meantime, IB has developed a good number of analysis tools, and very-much improved some others, to the point where I've promised myself to look through the whole mess again and re-acquaint myself. (Some were pretty damn cludgy and juvenile -- and look vastly improved now.)
But yeah -- that multi-account stuff -- Wow. VERY handy.
I encourage you to check out the whole suite of Risk Navigator tools. If you only used half of what ToS had available, this might be right up your alley.
Risk Navigator..... Ill Check that out. Do most trade with TWS at IB or do many use one of the myriad of other platforms?