The biggest issue for the Eurofighter is the lack of development focus. e.g. the AESA radar is very late. You really can’t sell a fighter these days unless the people funding the development looks like they are interested and add features in a timely manner. The French looks like they are heavily into the Rafale.
And it is time to question the strategic ability of the European war planners. With the F-35 increasingly looking like a lemon(https://www.documentcloud.org/documents/3035572-DOT-amp-E-AF-IOC-Memo.html), it would be prudent for the consortium to increase the number of aircraft in their inventories.
I doubt that the F-35 worries Putin, but the Eurofighter and the Rafale might worry him.