We follow the practice of lighting maavilakku; but some say that it is sufficient for those who have performed prapatti to offer the dough mix as an offering instead of lighting up the maavilakku, which will be construed as a prayer for a want. Kindly clarify the confusion. It is also said that maavilakku must not be lighted on those Saturdays which fall during a Navarathri Golu period or fall during Mahalaya Paksham or that fall during the Bramhotsavam period at Thirumalai and instead can be lighted during Aippasi Shravanam. Kindly clarify.

Prapanna’s can certainly light maavilakku on a Purattasi Saturday. There is no basis for suggesting that only a dough be offered instead of lighting up a maavilakku. Many elders follow the practice of lighting up maavilakku at home.
A few households do not light maavilakku during Brahmotsavam. It is left to one’s household practices; some households do not light during Brahmotsavam Saturday or Saturdays that occur during a Navarathri. It is permissible. Some households will light maavilakku only on Saturdays that fall during Navarathri. It is not a practice to light during a Mahala Paksha Saturday; hence it must be avoided.
It seems it is not practiced anywhere that due to certain reasons maavilakku can be lighted on Aippasi Saturday. Lighting maavilakku on a Purattasi Saturday is suitable for Tiruvenkatamudiyam and it is a must to light during such a Saturday.