We say: go visit somebody else's website. Look for their affiliate program. Find out if your web designer is getting a kickback for referring you. Some providers pay 10% or more every month.
Affiliate programs make it difficult for a web designer to make objective recommendations about what's good for your business. So good web designers generally don't participate in affiliate programs, and you can rely on their advice. We don't have an affiliate program, so when someone recommends us, you can be comfortable that it's because they like us and think we're a good fit for you.
On the other hand, good designers like to use the tools they know will give good results. Maybe your designer has had good luck with somebody else in the past. Maybe somebody else has a system that your designer is already very familiar with. In a case like that, sometimes it's better to go with somebody else. We'll be here if you need us.