I used to work in immunology - this is not accurate. We know that e.g. mRNA vaccines elicit quite a good T-cell immune response. e.g. for one of many studies looking at T-cell responses to the recent sars-cov-2 vaccines: https://www.cell.com/immunity/fulltext/S1074-7613(21)00308-3
Durability is an abstract quality, it could mean long lasting, or effective against variants, or some other resistance qualities..
IMO the science on natural immunity has been lacking, so it's hard to say with certainty.
one important thing we do know is that mRNA vaccines only generate an s-protein (the spike) whereas the full virus also includes an n-protein (the nucleocapsid). So vaccine immunity one trains against one protein whereas natural infections may train against both. This could be the basis for comprehensive immunity.. but I'll reiterate, it depends on scientific confirmation.