HP-washing without INT?

While doing some work on my ever-growing LOLPALLY guide, I think I just stumbled on something rather crazy...

The data assembled below has the following assumptions:

• You can salvage SP lost from lvling a Beginner past lvl 10. For example, you advance your lvl 13 Beginner into a lvl 13 Warrior. You'll have 10 SP.
• Improved Max HP Increase skill is maxed ASAP.
• All of LazyBui's information is correct.
  • You can add AP into HP and AP-reset MP afterwards, assuming you meet requirements.
  • AP-reseting MP will always take out the maximum of 4 MP per AP.
  • You gain 10-12 MP as a Beginner, and 4-6 MP as a Warrior.
  • You gain 12-16 HP as a Beginner, and 64-68 HP as a Warrior with maxed Improved Max HP Increase skill.
• The optimal HP-washing method is valid.
• INT = 0, for simplicity, since I don't know what 4 INT might do, if anything.
• Table data represents average figures, and it does not take into account possible variations where the RNG can fk you up.

(please excuse the HP numbers in the upper right part of the table, as they include the avg HP bonus from advancement when this obviously can't happen until the advancement itself)

 HP per level

Levels past 10 as a Beginner	0	1	2	3	4	5	6	7	8	9	10
Level
10	401	401	401	401	401	401	401	401	401	401	401
11	427	415	415	415	415	415	415	415	415	415	415
12	453	441	429	429	429	429	429	429	429	429	429
13	487	475	463	443	443	443	443	443	443	443	443
14	545	521	509	489	457	457	457	457	457	457	457
15	591	579	567	547	515	471	471	471	471	471	471
16	657	645	633	613	581	537	485	485	485	485	485
17	723	711	699	679	647	603	551	499	499	499	499
18	789	777	765	745	713	669	617	565	513	513	513
19	855	843	831	811	779	735	683	631	579	527	527
20	921	909	897	877	845	801	749	697	645	593	541
21	987	975	963	943	911	867	815	763	711	659	607
22	1053	1041	1029	1009	977	933	881	829	777	725	673
23	1119	1107	1095	1075	1043	999	947	895	843	791	739
24	1185	1173	1161	1141	1109	1065	1013	961	909	857	805
25	1251	1239	1227	1207	1175	1131	1079	1027	975	923	871
26	1317	1305	1293	1273	1241	1197	1145	1093	1041	989	937
27	1383	1371	1359	1339	1307	1263	1211	1159	1107	1055	1003
28	1449	1437	1425	1405	1373	1329	1277	1225	1173	1121	1069
29	1515	1503	1491	1471	1439	1395	1343	1291	1239	1187	1135
30	1581	1569	1557	1537	1505	1461	1409	1357	1305	1253	1201
Washes	5	6.5	8	9.5	11	12.5	14	15.5	17	18.5	20
Result	1841	1841	2005	2005	2085	2085	2137	2137	2189	2189	2241

Of course, there's the problem of lvling a Beginner, but other than that, this is suggesting that you can HP-wash to much greater effect without having to resort to costly INT equipment.

Is this all true, and that I'm not deceiving myself somehow?