Anamorphic lenses, especially the projection ones, suffers from some sharpness loss. This is mostly noticeable on wide f- stops under f8 and depending on what the recording format / bitrate used.
-I have had most success with dialing the taking lens to f16 - f22 to increase sharpness to maximum, understandably this needs lot of light or ISO, depending on the situtaton in hand.
Also recording the footage as RAW (magic lantern etc.) and post prosessing the RAW /MLV files in post will contribute to overall sharpness conceivable using the cheaper anamorphics. In the past weeks, I have been testing various workflows and you can see the "best" results here, using vintage EOS 50D, with RAW recording. the footage was edited in the free version of Lightworks, so it´s only presented as 720p in youtube. But please take a look, anamorphic lens used is ISCO 2x (the big golden one.)
https://youtu.be/ZAqUDLmO_zM