I have a free plan and I create, update and delete Airtable records quite often with Integromat. It seems to work for me.
What is your setup with both Airtable and Integromat. Maybe it’s with the setup with these apps? If I want to create and delete Airtable records I create 2 different scenarios, to do the job. They are two different actions.
Let me know if you need any help and I will try to assist you.
P.S. If you want to reply to me specifically type the ampersand @ and then type my name Mary and select M_k, the post should come to me directly.