SCP-X’s anomalous property only manifest when SCP-X comes within physical contact of an anomalous object, hereby classified “SCP-X-A”.
"Property" should be "properties." Coming within physical contact with something sounds a little off. I'd recommend saying "makes physical contact with." Classifying whichever anomalous object SCP-X contacts as SCP-X-A is…troublesome.
Usually, XXXX-A and XXXX-1 formatting is reserved for different iterations or creations of the primary SCP. SCP-X did not create SCP-X-A, and yet technically, one could argue otherwise. Personally, I would recommend using a different moniker for the affected anomalous object. Simply using 'affected/targeted object' can serve your purposes without getting knee-deep in naming conventions.
When SCP-X comes into physical contact with SCP-X-A, SCP-X-A will lose all anomalous properties for a time period proportional to the duration of the physical contact.
We will address this line in the concept check.
SCP-X is predicted to be able to use its anomalous properties an infinite amount of times.
There's nothing wrong with showing the Foundation's evolution of knowledge regarding SCPs. However, they are still statements that the Foundation would only ever make after utilizing the scientific method. That is, SCP-X had to have given the Foundation some indication, something seemingly concrete enough to be considered supporting evidence, that it could use its anomalous properties an infinite amount of times before this statement could be made.
SCP-X can only use its anomalous properties a limited amount of times proportional to the amount of time it has remained in physical contact with SCP-X-A.
I'm going to be honest, I don't really understand what you mean by length of time remained in physical contact. I imagine you mean that the longer SCP-X holds on to -A, the longer the nullification lasts. However, you go on to state that SCP-X will lose consciousness after 3-5 seconds of contact. This could be clarified better.
SCP-X appears to cease brain functions for this time, until approximately 5 minutes after contact is broken, when SCP-X awakens and brain function is resumed.
Brain functions ceasing completely for five minutes sounds pretty serious to me. I think even comatose patients have some degree of brain function keeping the heart beating and the breaths coming. I would either rework this or clarify that this is an anomalous property.
Currently, SCP-X is assigned to MTF-Upsilon-24 for Keter class re-containment, although SCP-X is expected to greatly resist deployment when the need for its abilities arises.
I have mixed feelings about this. The burden of justification is on you again for this matter. The primary question you should focus on when working with this statement is "why isn't SCP-X just used for every Keter ever?"