CUT&RUN and CUT&Tag typically produce a distribution of insert sizes around 150 bp (footprint of a nucleosome), while some transcription factors are known to produce sub-150 bp fragments, but these are less common. As such,
2x150 bp sequencing: Yes, you should trim adapter sequences prior to upload. A significant number of genomic fragments will be <150 bp, meaning the sequencing reads will contain adapter sequences and fail to align, reducing your overall alignment rate.
2x100 bp sequencing: No, unless you are mapping a transcription factor that produces sub-nucleosomal fragments (<250 bp as seen by TapeStation after the multiplexing PCR). If your library contains small fragments you should trim.
2x50 bp sequencing: No, you do not need to trim.