The nearest PYE radio I have been able to find a picture of which bears a resemblance and has push buttons is the G10 of 1948 vintage. Our one had a PYE logo on the front but not the big type covering the speaker. It was a superhet, but that was common. Not every one listed has a photo unfortunately.
It amazes me just how many style variations there were over the years, and PYE was only one of many manufacturers.