From what I can tell off of Sefaria's Connections visualization, by skimming through each Sefer individually and noting the Perakim with no connections, the chapters one will not learn with this method are:
- Shemos 37
- Yehoshua 23
- Shmuel I:27, I:29, and II:4
- Melachim II:1 and II:16
- Yeshaya 15
- Yirmiya 20, 35, and 45
- Yechezkel 6, 12, 30, 35, and 42
- Nachum 3
- Zechariah 6
- Tehillim 28, 43, 53, 64, 67, 70, 83, 96, 123, 131, and 143
- Iyov 17 and 23
- Ezra 5
- Nechemiah 3
- Divrei HaYamim I:6, I:10, I:19, I:20, II:8, II:10, II:11, II:12, II:17, and II:34
Overall, that's 43 Perakim. Out of a total of 931 Perakim, that means that, by Perek, 95.38131% of Tanach will have been learned.
The missing Perakim are found among 12 Sefarim (counting the I's and II's together, Nachum and Zechariah among Trei Asar, and Ezra and Nechemiah together). That means that a full half of Tanach by Sefer contains Perakim not cited by Shas Bavli.