That...is an interesting idea actually, and could also be used for solomha and 2nd line troopers as well...maybe, I am a little foggy on the honor coding there,
Second line maybe (depending on the clan). Solahma no.
The whole point of solahma units is that we've got aging warriors who've already proven their merits. Now we have to clear them away to make room for the new sibko graduates. We can't retire them (Diamond Sharks excepted) because our caste system means they have to stay as warriors. So we put them in situations where they can die quickly, gloriously, and cheaply. Vehicles and PBIs are perfect for this. So putting solahma into suits that are more survivable than usual defeats the purpose of having solahma units in the first place. At least give them a PA(L) with minimal armor and crammed with short range OS weapons.
(Post-jihad the clans were hurting for warriors, so I'd imagine you'd see fewer solahma units and solahma units being treated differently in this period. Certainly the post-jihad clan vehicles are much more survivable than their predecessors.)
Second line and troops are a whole different ball of wax. In some of the more liberal clans, I think "might makes right" might be enough that they can justify fielding them, at least against dezgra IS opponents. And the clans have used artillery since Klondike. Elementals already use cooperative strategies; this is just coordination at the Star rather than Point level. If BA tubes could do flak, the case would be sealed; such a suit would level the playing field at least a little in bloodname duels vs aerospace pilots.
I normally see a point of BA standing by an assault omnimech and instantly think they're bodyguards. In this case, you could run it the other way and have the mech cover for the infantry.
As for the Home Clans, well, this is IS tech and they're not likely to get a sample anytime soon. However, with their "anything goes" attitude towards non-clan opponents, this would be an obvious piece of kit for them to pick up.