there is a dep package at opensuse
https://build.opensuse.org/project/show/home:stevepassert
or and select "Grab Binary packages directly
https://software.opensuse.org/download/package?package=strawberry&project=home%3Astevepassert

https://download.opensuse.org/repositories/home:/stevepassert/Debian_10/armhf/strawberry_0.9.3-0.1~obs_armhf.deb

I use it on my Pi4 with lite Desktop and it works without any issues so far

I use 2 Pi Zeros for music servers and the process as one can imagine is painfully slow even overclocked at 1.1 GHz, as in it has been going on 4 hours and it is at 57% built.

I have been running Strawberry MP on a couple of Rasberry Pi Zeros for about 18 months (with Pimoroni PHAT sound cards) and I love it. Since losing Clementine with the upgrade to Buster I hated VLC and didn't like Rythymbox much either, then SMP came to the rescue, with much appreciated help from Jonas when I got out of my depth with all the compiling stuff. [If it was swimming I would be in the learner pool with water-wings on].

Both my RPi Zeros are physically built into other hardware (e.g. a re-purposed TV sound bar) and are somewhat of a hassle to get at, so compiling on the PiZero is the easiest - and slowest approach - but if you have access to the PiZero's why not do your installing on a Pi4 (or better still a Pi400 which is a bit faster) and then just remove the SD card and shove it into the target PiZero? They are very backward<>forward compatible.

To test this I just reformated an old SD card, did a fresh install of Raspi OS (Buster), then updated it with the packages listed here: https://github.com/jonaski/strawberry-buildbot/blob/master/worker-debian-buster/Dockerfile [Thanks Jonas for pointing me towards that].

I then followed the recipe in README.md, on my Pi400 and it was all cooked in about 20 minutes (plus some time for me to correct a missed step or two). Transferring the SD card to a fresh PiZero it then played straight out of the box, (via HDMI as the bare Zero doesn't have sound out). Hopefully this approach might save you a few hours waiting for the Pi Zero to struggle through the process.

Bottom Line: Yes I agree a Debian package in the Raspberry Pi repos would be Great!. I did suggest that in a RPi 'sound and video' forum over a year ago, but no one took any notice. So can we rally some support to try again because I am sure there are lots of RPi users out there not knowing what they are missing. And I'm sure Jonas would be happy if someone else was to do the Pi stuff for him us!