|The Chida explains, the first letters of the words, "LaTamai MeAfar Serayfas HaChatas" can be arranged to spell "Shlomo", and since he found an allusion to his name in the Parsha of Parah Adumah, he assumed that with proper diligence he could understand its meaning and significance.
The Gemara Rosh Hashanah (21b) explains the pasuk, "Koheles (Shlomo) sought to find words of delight" to mean that Shlomo wanted to be equal in wisdom to Moshe. However, a Bas Kol responded, "VeKasuv Yashar Divrei Emes" - "What is written in Sefer Devarim (which is known as "Sefer Hayashar") are words of truth." And in Sefer Devarim it states, "Never again has there arisen in Klal Yisroel a Navi like Moshe."
The Bas Kol can be explained to mean," VeKasuv Yashar" - "That which is written in the proper order is "Divrei Emes" - "Words of truth". Therefore, while there is indeed a hint to Shlomo's name in the parsha, the letters in sequence do not spell "Shlomo", but rather "LeMoshe" - "To Moshe" - meaning that the understanding of the Parah Adumah was revealed only to Moshe and no one else.