I got to thinking about a few sequences, and a recurring thought kept popping up. It seems like the two-card support problem is a recurring problem.
Partner opens 1♠, you bid 2♣, partner bids something, and you have some 4432 with 2-card spade support. Maybe his bid leaves spade length in question. Maybe you have the 2/1 style where partner's 2♠ says nothing about spades. Sure, you can get around to raising spades, but it takes a step or two and uses space/
Partner opens 1♠ and you have the same hand with 11 HCP. You bid a forcing 1NT and partner bids 2♦ (stealing BART in the process, which sucks). Your calls now are not reliable as to shape.
It seems like incorporating a means of showing 2-card support earlier would make a lot of sense.
One thought I'm dabbling with is a 2NT call (1♠-P-2NT) to show GF with 2-card support rather than 4-card support. I'm not all that enamored with Jacoby 2NT anyway. I mean, I like it all right, but I often bid 2/1 2♣ or something anyway, more than others. If 2NT showed some 4432 shape, Opener could do some neat things, like maybe 3♣ as agreeing the opened major and starting cues, 3♦ as the "other major" 4-card holding, suggesting that suit as trumps and inviting cuebids if Responder has support (immediate 3NT declining), and 3♥/3♠ as minor flags (4-card+ suit, inviting cues also).
Or, maybe 3♣ always for hearts and 3♦ always for spades. If hearts is opened, all is normal. If spades is opened, 3♣ could be implying 5-5 or 5-4, such that Responder can either cue at 3♥+ or bid 3♦ to show 2344, after which Opener can cue anyway to confirm a fifth heart.
If hearts is opened, 2♠ could be used as a similar bid (instead of 2NT, kept as Jacoby), but invitational+. If Opener wants to sign off, he bids 2NT, and Responder can raise to 3NT with GF values. If Opener would accept a game try, he bids 3NT or one of the flag-style bids. Responder's 2♠ could feature the other major if GF strength, in which case he probably bids 3♠ after a signoff suggestion (1♥-2♠-2NT-3♠ = 4234/4243; with any 4(♠)43(2♥) but invitational, bid 1♠ first).
Just thinking out loud, I suppose...