None of the claims in the article are true. While the draft has many inconsistencies and deficiencies (no exceptions for white hat or academic hacking among others), it does not criminalize anything of what is said in the article. Said law has been attacked heavily due to political reasons (Senator is on his way to be a governor candidate) and not because the law itself (that is really needed as there is a void in the legislation on cyber-crime that's due for over a decade).
You have to understand the Mexican judicial system is different and laws are not interpreted in the same way as English common law (Mexico uses civil law with heavier Roman law influences).
The wording of the law where people are claiming it would be illegal to modify your own PC, specifically words "dolosamente", which roughly could be translated to "with malicious intent". So yes, the purpose of said law is to criminalize any modifications or alterations to an information system with malicious intent, not wiping your own mobile. Both the original 3RD and gizmodo articles deliberately choose to omit that part. Which any decent lawyer or tribunal wouldn't.
The law also provides that any of the crimes in it will be prosecuted as private crimes, where the affected part needs to press charges and can withdraw them (issue a private pardon) at any time; with the exception of crimes against public infrastructure. It also provides that tribunals & judges must be consulted by IT experts on any cases regarding the law (so interpretation of the law would be influenced by the industry professionals).