The basic traits are there but the Sabbat description strikes me as a bit biased from a Camarilla point of view. The descriptions might all gain from a bit of nuance and additional fluff. How much so depends entirely on the type of campaign you plan to run and the level of understanding of the clans and sects that you'll allow the characters to have.
For example, almost all Camarilla Neonates are oblivious of the existence of the Antediluvians and even if they have heard of them it will likely be as nothing other than (for lack of a better description) 'scary bedtime stories'. The Tal'Mae'Ra is a very obscure group that does everything they can (and has it within their power) to keep others from learning (more) about them. Basically, everyone (outside of their direct connections) who knows about them is a threat and will be dealt with as such.
I know it can be tough for new players to make decisions based on their understanding of the sects or clans. It's easy to form a very biased opinion due to a lack of understanding of the deeper reasoning and politics of a sect. But as a GM you may not always want to give them access to too much info and it could even be fun to let them go in with a preconceived notion of what their, or another, sect is like. It almost always turns out to be completely false, which can lead to fun story arcs and character development.
If they are playing Neonates as you said, your descriptions could very well represent the limit of their understanding of the sects. It'll all depend on what their Sire chooses to tell them or what they manage to gather on their own.
I can start typing up an overview of sect structures and inter/intra sect politics, but that would be a tedious read. There is so much reference material available that you can drown yourself, and especially new players, in it. That is why I always send my new players over to The Gentleman Gamer YouTube channel. This has videos by Mathew Dawkins, who actually works on VTM V5 as a writer these days. He has an amazing understanding of the WoD and is able to very clearly convey all the important aspects. If you want to further develop your players' knowledge, I highly recommend to have them check it out.
You'll find his Vampire stuff here
And this one specifically covers choosing Camarilla, Sabbat or Anarchs.
To address your comment;
Some bias is okay and you are free to make them into what you want them to be for your campaign.
The Sabbat is a Sect but it is structured completely different compared to the Camarilla. It mostly consists of Packs (parties) of likeminded individuals who share goals, preferences or have other commonalities that bind them together. A pack can exist of Cainites (Kindred is a Camarilla term) from various clans as opposed to the more by-clan focused division of Kindred within the Camarilla. The Sabbat are, in general, much less fearful of their elders, who in turn are much less controlling than their Camarilla counterparts. Another major difference is that members of Sabbat packs will undergo a rite called Vinculum. It is meant to bond the pack members as 'brothers in arms' and protects them from being blood bound to others.
Although some Sabbat do indeed chase the Antediluvians, many are not dedicated to that specific cause. Knowledge of the Antediluvians is shared more freely within the Sabbat, but the Camarilla keep a tight lid on it. Their Neonates are unlikely to know anything specific and will be actively manipulated into believing they're not real.