ASD traits is totally meaningless as a description without a clear indication of which traits exactly are observed and their impact. Can the EP document the traits she has observed. With all due respect EP's are not qualified to diagnose and to be fair ASD is so darn complex that noone could hope to observe everything it involves in just one sitting. However the fact she HAS noticed some observable traits make it well worth asking your GP for a referral to a pead for a proper clinical assessment (ADOS is the most commonly used diagnostic tool).
I'd also query the second part of the EP's description - "not enough" for what exactly? The law says that educational support should be based on NEED not DIAGNOSIS- do keep that in mind.
"Autistic traits" could describe an individual who is a little quirky and socially arwkard or one like my son who needs full time ASD trained 1:1 support to cope with a school day.
My own lad is well within the clinical boundaries for 2 of the 3 legs of the infamous triad, but "only" borderline on the third. Yet in reality he's more disabled imho than his brother or father who both test within that clinical boundary required for all 3 aspects of the triad. He's also more impacted that several children I've worked with or taught who had formal Aspbergers diagnoses.
Testing more evenly across all 3 legs, can often mean a far less spikey cognitive profile in total as a result than someone without a diagnosis. Think of it like a graphic equalizer - a very low score on just one aspect of the Triad could signal the need for significant intervention and support, (and those who do have full diagnoses will still have significant variations on which areas are most impacted). Asd spectrum covers a huge ability range. His borderline status on just one leg of the Triad has caused no end of grief in negotiating the SN system over the years. I never know whether I should be relived, or distressed by the fact he has one area that's borderline NT due to the lunacy of "the system".
There is also an kind of olympic ring going on with many children where ASD is present in conjunction with other co-morbid conditions such as sensory integration disorder, dyspraxia, or ADHD. This further muddies the water. Innate personality also has an impact. DS's introverted brother doesn't want friends whereas extrovert DS is happiest when he feels part of his "pack".
My son is by nature a social extrovert who adores making friends. He just hasn't a clue how to go about it without the right support sometimes, and is frequently completely baffled by things that most people understand instinctively.
I do hope my ramble above made some sense. Your post touched a nerve methinks.