Yes, “residence” is the same as “presence”, at least in paragraph 245AAA(a) of the Immigration Rules, says Upper Tribunal Judge Allen. Official headnote:
(i) On a proper construction of paragraph 245AAA(a)(i) of HC 395, an absence from the United Kingdom for a period of more than 180 days in one of the relevant 12 month periods will entail a failure to satisfy the requirements of paragraph 245CD.
(ii) The term ‘residence’ in paragraph 245AAA(a) is to be equated to presence.
The decision is understood to be under appeal. The two words are different, after all, and if the meaning were intended to be the same then it is arguable the same word would have been used by the very careful and skilled Home Office draftspersons responsible for the Immigration Rules.