Interesting thought about the BCM having issues. I've only had the car 6 months. On 4 occasions when getting home or getting to shops, I have been unable to lock it with keys. It starts ok and locks manually, but it's as if the key is suddenly dead, no response, no flashers. It's a new key, old key is the same. But an hour later, it magically appears fine. It has only been when trying to lock, so far, and straight after a drive with no issues. I haven't noticed this issue at same time as radio button thing, but I don't always touch them either.
Was it a Genuine Key Head or a copy/knock off ?
Was the new Key Head programmed in correctly with a Tech2 or similar,
or was it just duplicated/copied from the existing one that was faulty ?, as this could be the issue.
Does it work OK after you have had your Key in your Pocket ?, as body heat will/could warm the battery up,
Being batteries do seem to deteriorate/fail when hey have been in the cold.
If its programmed in with a Tech2 or Similar, it creates a new Key/user.
Where I programmed in my new Key Head into my VY, it has creates a new Key/identity in the BCM, and its hasn't faulted since.
I have a family friend that had a very similar issue as you, he brought his car around and I reprogrammed in his existing Key,
as the BCM it seemed to have forgotten it, its worked for a few days, and failed again.
I did advise to bite the bullet and get a new Genuine one,
well he ended up purchasing a new Key Head after his failed again, at the most inconvenient time for an important appointment,
I programmed it in the following day with my Autel unit, that was approx 3 months ago and also has not faulted.
Most of the Key Heads fail due to ageing internal Batteries.
On a side note : Don't purchase a knock off Key Head, Only Purchase a Genuine one,
yes they may cost an extra $10 > $15,
But the $20 > $30 knock offs fail,
then you will have to fork out another $20 > $30+ for another one, so it prob cost up to $60 + programming
Where the Genuine one will last a lot longer.
Sorry about getting off track, but the steering buttons errors could start from the faulty Key Head.