Using with Contact Form 7 Multi-Step Forms: 2nd form not mapping to SF

Using the Contact Form 7 plugin and the Contact Form 7 Multi-Step Forms plugin, I created a “two page form” (really, two Contact Form 7 forms linked together) for my site. Using the Forms: 3rd-Party Integration plugin, I was able to successfully import all the data from Form 1 of 2, however, the data from Form 2 of 2 does not import at all.

Here are the results when I debug:

Array
(
[_wpcf7] => 210
[_wpcf7_version] => 4.4.2
[_wpcf7_locale] => en_US
[_wpcf7_unit_tag] => wpcf7-f210-p208-o1
[first-name] => Thursday
[last-name] => 302pm
[phone] => 2245580020
[zipcode] => 333-333-3333
[when-injury] => More than a year, less than 3
[action-taken] => Lawsuit filed
[step] => 2-2
[_wpcf7_is_ajax_call] => 1
[injury-type] => Headaches
[case-description] => joiuiuio
)

*** Post (to Service) ***
Array
(
[timeout] => 10
[body] => Array
(
[oid] => XXXXXXXXXXXX
[lead_source] => web
[submit] => submit
[first_name] => Thursday
[last_name] => 302pm
[phone] => 2245580020
[when_injury__c] => More than a year, less than 3
[action_taken__c] => Lawsuit filed
[injury_type__c] => Headaches
[case_description__c] => joiuiuio
)

)

*** Response ***
Array
(
[headers] => Array
(
[date] => Thu, 12 May 2016 22:05:59 GMT
[set-cookie] => BrowserId=XXXXXXXXXX;Path=/;Domain=.salesforce.com;Expires=Mon, 11-Jul-2016 22:05:59 GMT
[expires] => Thu, 01 Jan 1970 00:00:00 GMT
[cache-control] => private,s-maxage=0
[content-type] => text/html;charset=UTF-8
[connection] => close
)

[body] =>
[response] => Array
(
[code] => 200
[message] => OK
)

[cookies] => Array
(
[0] => WP_Http_Cookie Object
(
[name] => BrowserId
[value] => 5SnEiqi8Q_W3jJC7bzpHCw
[expires] => 1468274759

https://wordpress.org/plugins/forms-3rdparty-integration/