What do I expect? Points roughly 13-12-8 around the table. Most likely distribution for partner 2-3-4-4 or 2-3-5-3 with xx spades.On a good day he'll be 1-4-4-4 or 1-3-5-4.
2H is plenty. I expect to lose 2 spades and 2 clubs right off the bat. Could easily be a third club loser. No guarantees of bringing in the red suits without loss or a avoiding a spade overruff.
I can understand 3H if it's purely obstructive, though you may well push them into a making game by doing it. Can't imagine how anybody thinks 4H has much chance of coming in.
Re new suits at the 2-level (1S-X-2C) being nonforcing and limited to ~10HCP at most:
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It was at one time a common way to play, but I'd be surprised if it still is.
It's still by far the most common thing for opponents and pickup partners to have marked on their cards at my local club or at live tournaments. And still what's taught to the B/Is, at least in my corner of the world. I would be very surprised to see any
other meaning than that attached to 2C without a special agreement.