Just to push into some clarity here for everyone...assuming I correctly understood what he wrote and asked:
Bruce has ONE 1.25m (222mhz) radio....(which is a dedicated single-band radio)
Bruce has ONE 2m/70cm (144mhz/440mhz) radio....(which is dedicated dual-band radio, that of course does not work on 222mhz)
He is currently using both of these radios with a "tri-band" (2m/1.25m/70cm) antenna, by using a coax switch....and as such, he can only use one at a time....hence the reason he asked a question here --- to see what (if anything) he could use in order to allow him to use both radios at the same time.
And, the good news is, there are some things ("tri-plexers" and "di-plexers") that do exactly what he desires, and the ones that I've have used (Comet) are well-made, seem to meet their spec, and have been reliable for many years.
So, there is no need to further complicate things here.
Unless I have somehow misunderstood what equipment he has, and what he asked, all that I wrote last night (above in reply #2) is true and accurate.
And, while I cannot speak to Jacquet, K4PIH's specific problems ('cuz I don't know the situation, radios, switch, cables, etc.)....but we can
all take notice of his unfortunate rig failures, and use this as a reminder to make sure you use good (hi-isolation and "positive" / solid switching) coax switches!
Especially when using them to switch between radios!
And, if using radios that do not have VSWR protection (which is lacking in most of the lesser-expensive / made-in-China rigs), you also need to make darn sure you have the coax switched to the correct radio before transmitting!
And, btw, when using a coax switch to switch between two (or three, or four) VHF-FM and/or UHF-FM radios this needs to physically verified ---- as, unless you can actually receive a signal from some station(s) before you transmit, even if you "unsquelch" the radio to hear the "noise" like you do on HF (SSB, CW, etc.), all you're listening to is the receiver's noise, not atmospheric noise ---- so, you do need to physically verify the switch position!
And again, while I don't know the radios....the generic facts are, that in the past 20 years or so, some manufactures have made/sold single-band and/or dual-band radios that have "wide receive coverage", etc....and if you use a crappy coax switch and/or have poor connections and/or just poor isolation, these radios are more sensitive to issues than more "dedicated" ham rigs...
{oh, and don't get me started on the Baofeng / Anytone craze of the past 10 years or so, with their poor design/construction and lack of reliability...and, their pushing of components well-beyond their design spec, especially in the transmit PA's...ugh! (I just don't get their appeal...heck, even if on a budget, the amortized cost of an Icom or Kenwood is MUCH lower than what buying a few Baofengs would cost you over the years)...sorry for the small rant. hi hi}Anyway, there is no need to run 3 runs of coax to 3 separate antennas, just to use 3 different bands.
And, btw....if Bruce did wish to do this, he'd need to buy another radio, as well as new antennas, more coax, etc....
Again, to be 100% clear, there is no reason to do this!

Just use a tri-plexer and di-plexer!

I do hope this clears things up?
73,
John, KA4WJA