As my group primarily plays AlphaStrike nowadays, we've switched the basing format from "hex-sized" to "penny-sized" for all ground-based infantry types (CI and BA)
The largest reason for this has been Hobby budget (or lack thereof during car maintenance month). For instance, I made a blister of Elementals stretch into 30 individual units, allowing for 6 stars worth to be fielded (whether actual unit or proxy). We will still use hexes for diorama pieces, but those days are few and far between
One of the beneficial effects of going to the "penny-sized" has been concealment/cover against LoS. My group avoids the "template" and usually play "As seen" ...so on a map with 1/2" walls, my BA (and now CI) can actually hide against enemies... where, when attacking a hex-base, the rule of "if I can see half---" meant that supposed cover was lost.
Also, since "penny-sized" can still fit onto a hex, we have no issues going back and playing in Classic/TW. Its a win-win in my corner of the internet.
...As far as "Anti-Infantry" specials? I wouldn't mind "AI", but instead of having more specialized weapons dealing more damage against infantry (I'm looking at you, Heat and AoE attacks) I think there should be less damage done by non-infantry weapons... the way it is in Standard/TW.
Off-hand, I would treat "AI" like "CASE" (only a required listing, with a passive PV cost) but there would need to be some write-up around Attacks against Infantry to include something like "reduce damage by half unless the attacker possesses the AI or HT specials" and elsewhere in the paragraph "still takes full damage from AoE and HT attacks" (FR still ignores heat attacks). ...But this is spiraling off topic, so I'll stop myself here.