You've got to do whatever feels right to you, but personally there's no way I'd follow that pharmacy's guidance here. Personally I'll keep a device going provided the contents remain clear and the expiration hasn't passed. Store mine properly, maintaining the cold chain the whole way. Every pen I've received has arrived cold, goes straight into the fridge, and stays cold the entire time, out only briefly to inject before going right back in. I use a pen until it's completely empty. These things cost way too much to toss after just a handful of doses. Maybe that pharmacy's struggling financially, or maybe they just don't want any liability exposure, understandable given how litigious things can get, but that's likely just the overly cautious answer they're required to give.
Plenty of doctors will even write a prescription for a larger pen size for someone on a smaller dose, purely to help them save money. Not official medical guidance to anyone reading this, but it shows what even prescribers themselves are willing to say. I'd personally have zero hesitation continuing with it. The final call is obviously yours to make, but it's worth digging into a broader range of sources rather than leaning entirely on one pharmacy's stance.