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Touchdown! Greaser!
61.311 spells it out. There is no flight by instruments in a-l, nor are there instrument requirements in 61.309 (KNOWLEDGE).While there are no instrument requirements for the issuance of a Sport certificate, there are solo xc requirements and 61.93 clearly requires a little bit of hood time prior to any solo xc by a student pilot.
61.313 specifies 2 hours of cross-county flight training but no instrument work, see table. There is no mention of ANY instrument work at all.
See the headings: "SUBPART J: SPORT PILOTS"
That is why it is not necessary to take an instrument equipped ship to the LSA checkride.