[sgxin]

Cannot rule this out. The risk of getting hit by Houthis drones or missiles is high.  

I think need not limited to the Red Sea.
The Houthis are pro-Palestinians and once the US-led military strikes start, other pro-Palestinians groups in SE Asia may join in the fray to support the Houthis.
And Straits of Malacca is much narrower than the Red Sea, it will be severely tarnish SAF image if one or more RSN vessels are badly hit.