I have thought about tightening the head on my acoustic kick drum to get a matching rebound, but I am not sure if this is not going to hurt my technique in any way.
one more thought on this...
If you want to obtain a similar rebound on the acoustic BD then consider switching to a thinner batter head. For example, I like the Aquarian Super Kick heads for my BD batter. The SKII is a 2-ply head and the SK1 & 3 are 1-ply heads. If I desire a more responsive foot I might use the 1-ply head... or switch to a SK2 for less rebound (and more 'thud'). The effect is similar to tweaking the tension as you mentioned.
But again, my suggestion is to adapt your skills to handle either. This will come with time & experience. I encourage my students to switch stuff around (heads, cymbal placement, kit config, etc.) because it will increase your control. Over time you will be able to dynamically switch between "heel up" and "heel down" techniques without even thinking about it (that's the "better foot control" aspect).