e.g., Complaint, Answer, Motions, Answers to Motions, Depositions, etc., should be rejected if they don't have the representing counsel's name on it for any reason.

Civil Procedure Rule 11. Signing Pleadings, Motions, and Other Papers; Representations to the Court; Sanctions
(a) Signature. Every pleading, written motion, and other paper must be signed by at least one attorney of record in the attorney's name—or by a party personally if the party is unrepresented. The paper must state the signer's address, e-mail address, and telephone number. Unless a rule or statute specifically states otherwise, a pleading need not be verified or accompanied by an affidavit. The court must strike an unsigned paper unless the omission is promptly corrected after being called to the attorney's or party's attention.

(b) Representations to the Court. By presenting to the court a pleading, written motion, or other paper—whether by signing, filing, submitting, or later advocating it—an attorney or unrepresented party certifies that to the best of the person's knowledge, information, and belief, formed after an inquiry reasonable under the circumstances:

(1) it is not being presented for any improper purpose, such as to harass, cause unnecessary delay, or needlessly increase the cost of litigation;

(2) the claims, defenses, and other legal contentions are warranted by existing law or by a nonfrivolous argument for extending, modifying, or reversing existing law or for establishing new law;

(3) the factual contentions have evidentiary support or, if specifically so identified, will likely have evidentiary support after a reasonable opportunity for further investigation or discovery; and

(4) the denials of factual contentions are warranted on the evidence or, if specifically so identified, are reasonably based on belief or a lack of information.

https://www.law.cornell.edu/rules/frcp/rule_11

Without a name, how can a so-called attorney certify the veracity of the statements made?

I expect that they have looser standards, and if they don't, they are in the process of rewriting, reinterpreting, or simply ignoring documentation standards.

The only step left is to have court proceedings held in closed settings with no public awareness.

Also from the article: