The CBA explicitly says that there is a new limit if a player signs with a different team, but not if they stay with their old team.
That is incorrect.The CBA quite literally addresses the issue and allows for this
NFL Operations. emphasis mine, last paragraph on the cited page
"
Standard Elevation Addendum
Now included in all practice squad contracts, the standard elevation addendum allows teams to move a player from the practice squad to the active/inactive list for one week and then back to the practice squad without subjecting him to waivers. Under this addendum, a player reverts back to his team's practice squad on the first business day after the game in which he is elevated.
These players receive the applicable minimum salary for a player with his number of credited seasons (prorated for one week of regular season pay or the applicable postseason amount). This clause can be used by a team for a maximum of two regular-season or postseason games per player per season.
Each practice squad players can be elevated for a maximum of three regular season games in the same League Year. After this, any subsequent elevation of the player will require the team to add him to their 53-man Active/Inactive List.
The team must then waive or terminate his player contract before the player can be re-signed to the Practice Squad. If the player is re-signed to the Practice Squad this way, the player is again eligible to be elevated for the previously mentioned maximum of three games."
the Collective Bargaining Agreement states:
"
If the Club requests waivers on the player’s NFL Player Contract and that contract
is not claimed by another Club, or
if the Club terminates the player’s contract, the player
shall become a free agent and shall be free to sign an NFL Player Contract or a Practice Squad Player Contract with any Club, including the Club that requested waivers or terminated the contract. If the player’s NFL Player Contract is not claimed, or if the contract is
terminated, and
the player subsequently signs a Practice Squad Player Contract with a new
Club, nothing shall preclude the signing Club from elevating the player to its Active/In-
active List up to a maximum combination of two regular season or postseason games,
subject to the rules set forth in this Section 5. "
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Terminate the players contract. Re-sign the player to a new deal it resets the number of eligible call ups.
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This is not nebulous wording. It is. in fact, quite clear and deliberate in its messaging - If you terminate or waive a player contract, the team that releases the player can resign him to a new practice squad deal and he can be called up three more times.
The reasoning behind this is it allows practice squad players to be on the 53 man roster for six games in a season... Six games is a very important number.
The team benefits because the player is cheap and it benefits the player in regards to free agency.... Six games is important because that is the definition of an "accrued season" in terms of NFL contracts.... Its a huge benefit for players who are on the practice squad... The number of accrued seasons is what is used to determine free agency - exclusive rights free agent, a restricted free agent, or an unrestricted free agent.