I don't think there's any harm in a HBD text - as long as you are generally detaching and can keep it light and breezy with no expectations. I wished my H HBD recently. He had emailed me about something the day before and I was able to pop in a one liner to say HBD in my reply on his birthday. I didn't receive a reply for him, but I haven't particularly worried about that either..
Hope this helps
T 13 M 7 Me 48 H 46 SS 15 BD 7.14 PA D final 5.16 (H filed)
We receive & we lose, and must try to achieve gratitude & embrace with whole hearts whatever of life that remains after the losses - Dubus