mapj1:
Sounds like you have correctly identified the RFI filter or RF "choke".
Choke is between mains and the bridge rectifier, and may double as the fusible element in the value engineered design.
Yes if you omit it, it will probably run, and charge things OK. It is however not likely to meet the letter or the spirit of the EMC regs without it, and radio reception and broadband use nearby may be a corrupted.
(overhead 'phone lines carrying ADSL or VDSL act as rather indeterminate antennas, and the pick up of fast switching spikes and sensitive broadband modems to not co-exist well.)
After all if it did not need the filters to pass type aproval, it would not be there
I might leave the filter out as a quick test to see what else is broken. Longer term, can you unwind one turn of the wire. to form a new end, or fit another easier to handle filter externally or in-line.
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