Nothing in § 27-16-10 is to be construed to prevent an unauthorized foreign or alien insurer from filing a motion to quash a writ or to set aside service of it made in the manner provided in § 27-16-6 or § 27-16-7 on the ground either:
(1) That the unauthorized insurer has not done any of the acts enumerated in § 27-16-5; or
(2) That the person on whom service was made pursuant to § 27-16-7 was not doing any of the acts enumerated in that section.