Yes, but, there are things one can do to help alleviate or avoid being classified as spammer...such as setting up SPF, DKIM, DMARc, etc. properly. Also, have folks send emails into your new inbox first, then reply, etc...Also, "warm up" the sending outbound by sending into legitimate services little by little, etc. Now, if you were to stand up your own self-hosted mail server, that makes things a little harder, but even then, there are things one can do...so its not dire.