Ireland 93%-Vaccinated back to lockdowns., page-69

Gene therapy is the correct term.

The Astra is a viral vector type, can read the definition here at the FDA website.
https://www.fda.gov/vaccines-blood-biologics/cellular-gene-therapy-products/what-gene-therapy

Pfizer/moderna rna types most certainly are - as per the definition given to their investors and as classified as such by US/EU etc governments.
https://investors.biontech.de/node/8746/html
Search for "gene therapy".

The FDA has been changing the definition of "vaccine" a lot recently, there were even some FOI requests to their emails giving insight as to why...
The term vaccine gives big pharma regulatory loopholes, and alters public perception.

But do not be fooled - these are all first of their kind "therapies" that science should be extremely wary of. Unfortunately science is being censored and politics and $$ are being placed before health.