It will work just fine. However, when I “pitch” I like to feel the tip of my rod load alittle bit. So a 1/2oz with trailer of your choice is more ideal for me on the 7’2” H. Also most jigs size of 3/8 vs 1/2oz pretty much are the same size/profile. It just that the 1/2oz jig rate of fall is faster (so that is a thing to consider). But overall the jigs I use looks almost identical in size/profile. Another plus for the “H” rod is that you can go heavier such as 3/4oz or even a 1oz football jig if your fishing open deeper waters. The “H” will/would give you a better hook set in open/deeper waters.
Basically it comes down to user preference.....as both rods has the necessary backbone to land your average bass.