For reader's convenience below is link to Senator Cornyn's web page describing the proposed legislation and text of proposed legislation for Fix NICS Act of 2017.
There is no bump stock language in the proposed Senate version - there is in the House version.
Links directly to the differing House and Senate versions of the proposed legislation are also produced below. Hope this helps.
CORNYN'S take:
https://www.cornyn.senate.gov/node/4478
https://www.cornyn.senate.gov/sites/...ill%20Text.pdf
SENATE VERSION:
https://www.congress.gov/bill/115th-...bill/2135/text
HOUSE VERSION:
https://www.congress.gov/bill/115th-...bill/4477/text
Perhaps, fix NICS with properly reporting prohibited persons (felons and those adjudicated mentally ill) and tie the passage of that proposed fix to simultaneously passing national reciprocity for law abiding folks.
ETA: introduce specific and expedited relief provisions into the proposed fix language for those wrongly placed on the "no buy" list to address that legitimate concern.