Direct answer
SR621SW/364 and SR621W share a 6.8 × 2.15 mm silver-oxide envelope. The SW record is classified for low drain and the W record for higher drain, so the device requirement must choose between them.
Both are 6.8 mm in diameter; heights are 2.15 mm and 2.15 mm. Both are 6.8 × 2.15 mm silver oxide / zinc cells at 1.55 V nominal, but their drain designations differ (SW: low-drain profile versus W: higher-drain profile). Preserve the device-specified class.
Do not infer acceptability from fit alone. The device maker’s complete code and current instructions remain authoritative.