Direct answer
LR621/AG1 and SR621SW/364 share a 6.8 × 2.15 mm envelope. LR621 is a 1.5 V alkaline cell with a sloping discharge profile; SR621SW is a 1.55 V silver-oxide watch cell with an SW low-drain designation. The shared size does not make the chemistries exact equivalents.
Both are 6.8 mm in diameter; heights are 2.15 mm and 2.15 mm. The 6.8 × 2.15 mm envelope matches, but the electrical families do not: Alkaline manganese dioxide / zinc at 1.5 V nominal versus Silver oxide / zinc at 1.55 V nominal. Physical fit is not equivalence.
Do not infer acceptability from fit alone. The device maker’s complete code and current instructions remain authoritative.